Question

Which expression is equivalent to √100 +4√10 +3 −8 √10?

1) −4√10 + 13
2) 10 − √10
3) 3 − 2√10
4) √10

Answer 1

√100 +4√10 +3 −8 √10 = −4√10 + 13 TRUE

Explanation:

Simplify the following:

sqrt(100) + 4 sqrt(10) + 3 - 8 sqrt(10)

Hint: | Simplify radicals.

sqrt(100) = sqrt(10^2) = 10:

10 + 4 sqrt(10) + 3 - 8 sqrt(10)

Hint: | Evaluate 10 + 4 sqrt(10) + 3 - 8 sqrt(10).

10 + 4 sqrt(10) + 3 - 8 sqrt(10) = 13 - 4 sqrt(10):

Answer: 13 - 4 sqrt(10)